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425035680 = 25351038597
BaseRepresentation
bin11001010101011…
…000011110100000
31002121210001100020
4121111120132200
51332302120210
6110101553440
713350513036
oct3125303640
91077701306
10425035680
111a8a15663
12ba415880
136a098b04
1440640556
15274ab770
hex195587a0

425035680 has 96 divisors (see below), whose sum is σ = 1352018304. Its totient is φ = 112229376.

The previous prime is 425035669. The next prime is 425035697. The reversal of 425035680 is 86530524.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45142 + ... + 53738.

It is an arithmetic number, because the mean of its divisors is an integer number (14083524).

Almost surely, 2425035680 is an apocalyptic number.

425035680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676009152).

425035680 is an abundant number, since it is smaller than the sum of its proper divisors (926982624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425035680 is a wasteful number, since it uses less digits than its factorization.

425035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 425035680 is about 20616.3934770367. The cubic root of 425035680 is about 751.8683374444.

The spelling of 425035680 in words is "four hundred twenty-five million, thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 8597 9888 12360 16480 17194 24720 25791 34388 42985 49440 51582 68776 85970 103164 128955 137552 171940 206328 257910 275104 343880 412656 515820 687760 825312 885491 1031640 1375520 1770982 2063280 2656473 3541964 4126560 4427455 5312946 7083928 8854910 10625892 13282365 14167856 17709820 21251784 26564730 28335712 35419640 42503568 53129460 70839280 85007136 106258920 141678560 212517840 425035680